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Finding the Fourth Proportional to 22,423.96, 30,946.98 and 12,354.28

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Solution

The fourth proportional to 22,423.96, 30,946.98 and 12,354.28 is: 17,049.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,423.96 : 30,946.98 = 12,354.28 : x
  2. Step 2: Convert to fraction form
    22,423.96/30,946.98 = 12,354.28/x
  3. Step 3: Cross multiply
    22,423.96x = 30,946.98 × 12,354.28
  4. Step 4: Simplify right side
    22,423.96x = 382,327,656.07
  5. Step 5: Solve for x
    x = 382,327,656.07/22,423.96
  6. Step 6: Final answer
    x = 17,049.96

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.